salemalhajaeri
salemalhajaeri salemalhajaeri
  • 26-04-2021
  • Mathematics
contestada

The sum of the interior angle measures of a convex polygon is 540° . How many sides does it have?

Respuesta :

brownblack101
brownblack101 brownblack101
  • 26-04-2021

Answer:

5 sides

Step-by-step explanation:

A polygon includes the shape pentagon which has  5 sides.

If  n  are number of sides of a convex polygon, sum of its interior angles is 540 degrees.

As in given case sum of interior angles is 540°, we have

( n  −  2 )  ×  180 °  =  540°

When we solve this equation, we get 5 sides.

We can check this by plugging 5 into n, so the equation is

(5 - 2) x 180°   = 540, this becomes...

3 x 180 = 540; this is correct so you answer is 5 sides.

Answer Link

Otras preguntas

which part of the atom is responsible for chemical bonding
What are the most commonly found items in the trash according to the Municipal Solid Waste report?
why couldn’t farmers pay their bills in the 1930s?
dna is a polymer , which means that its made up of many repeating single units (monomers). what are the monomers called ?
Solve the length of the missing side?
An airplane is flying through the air at a constant velocity. which force is greater, the drag (the force that moves an object forward) or the thrust (force th
You are entering an expressway and are in the acceleration lane you should speed up to
in the pic thank you guys
Comment if you know the answer thanks babesss
Which form of government dis hobbies think could best maintain social order A. Oligarchy B. Constitutional monarchy C. Aristocracy D. Absolute monarchy